Pith Number

pith:OBZRFGCQ

pith:2016:OBZRFGCQOZOMO6AUZPBC3PHUJ5

not attested not anchored not stored refs pending

On the homotopy exact sequence for log algebraic fundamental groups

Atsushi Shiho, Valentina Di Proietto

arxiv:1608.00384 v5 · 2016-08-01 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBZRFGCQOZOMO6AUZPBC3PHUJ5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:15:38.102427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7073129850765cc77814cbc22dbcf44f4b89b0257385a5e741117db671a6015b

Aliases

arxiv: 1608.00384 · arxiv_version: 1608.00384v5 · doi: 10.48550/arxiv.1608.00384 · pith_short_12: OBZRFGCQOZOM · pith_short_16: OBZRFGCQOZOMO6AU · pith_short_8: OBZRFGCQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OBZRFGCQOZOMO6AUZPBC3PHUJ5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7073129850765cc77814cbc22dbcf44f4b89b0257385a5e741117db671a6015b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802b37192b99010f7edb5d99b351ebd210403586706879f91e6e9de2370ebf70",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-01T11:01:34Z",
    "title_canon_sha256": "dba2ffe3d62297e9cd503f77edb4a6bb70b1c27fb9c861579a69e7721c78342b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00384",
    "kind": "arxiv",
    "version": 5
  }
}